Converting Signed Hex to Decimal: What is the Correct Solution for -8230?

[Sumaya]

Homework Statement

convert signed hex to decimal, 8230

Homework Equations

The Attempt at a Solution

i first make 2's complement of 8230 bcz it is negative

then i convert it to decimal

ffff-8230=7dcf+1=7dd6
7dd6=32214 in decimal

my answer is -32214

but i checked the solution on the book ,it was different .. -32208
i want to know where is my mistake ?
did i do the steps of the converstion right ?


thanx a lot ...

 

[Mark44]

Homework Statement

convert signed hex to decimal, 8230

Homework Equations

The Attempt at a Solution

i first make 2's complement of 8230 bcz it is negative

then i convert it to decimal

ffff-8230=7dcf+1=7dd6

The above has a mistake.
The ones' complement of 8230 is 7DCF. Adding 1 gives you 7DD0, which is 32208 in base-10.

7dd6=32214 in decimal

my answer is -32214

but i checked the solution on the book ,it was different .. -32208
i want to know where is my mistake ?
did i do the steps of the converstion right ?


thanx a lot ...

 

[Sumaya]

thnx alot